What is \sqrt[3]{\sqrt[4]{sqrt(128)}} ?

The solution to \sqrt[3]{\sqrt[4]{sqrt(128)}} is \sqrt[24]{128}

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simplify \sqrt[3]{\sqrt[4]{sqrt(128)}}

simplify

Solution steps

Apply radical rule:

= (12 8^{\frac{1}{8}})^{\frac{1}{3}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= 12 8^{\frac{1}{8} \cdot \frac{1}{3}}

\frac{1}{8} \cdot \frac{1}{3} = \frac{1}{24}

= 12 8^{\frac{1}{24}}

3^{(- (- π)^{2})} \cdot (- π)

e^{- 1 \cdot 1200}

2.25 \cdot 1.26

5^{\frac{1}{3}}

What is \sqrt[3]{\sqrt[4]{sqrt(128)}} ?
The solution to \sqrt[3]{\sqrt[4]{sqrt(128)}} is \sqrt[24]{128}